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506052441 = 3419378887
BaseRepresentation
bin11110001010011…
…011111101011001
31022021020010110000
4132022123331121
52014022134231
6122114243213
715353242356
oct3612337531
91267203400
10506052441
1123a720764
12121586509
1380ac3c1b
144b2cd62d
152e6616e6
hex1e29bf59

506052441 has 40 divisors (see below), whose sum is σ = 817340480. Its totient is φ = 310938912.

The previous prime is 506052439. The next prime is 506052461. The reversal of 506052441 is 144250605.

506052441 is a `hidden beast` number, since 50 + 605 + 2 + 4 + 4 + 1 = 666.

It is not a de Polignac number, because 506052441 - 21 = 506052439 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506052461) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52500 + ... + 61386.

It is an arithmetic number, because the mean of its divisors is an integer number (20433512).

Almost surely, 2506052441 is an apocalyptic number.

It is an amenable number.

506052441 is a deficient number, since it is larger than the sum of its proper divisors (311288039).

506052441 is a wasteful number, since it uses less digits than its factorization.

506052441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8955 (or 8946 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 506052441 is about 22495.6093716085. The cubic root of 506052441 is about 796.8902404282.

The spelling of 506052441 in words is "five hundred six million, fifty-two thousand, four hundred forty-one".

Divisors: 1 3 9 19 27 37 57 81 111 171 333 513 703 999 1539 2109 2997 6327 8887 18981 26661 56943 79983 168853 239949 328819 506559 719847 986457 1519677 2959371 4559031 6247561 8878113 13677093 18742683 26634339 56228049 168684147 506052441